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CSR
2008
Springer
15 years 4 months ago
Invariant Generation for P-Solvable Loops with Assignments
We discuss interesting properties of a general technique for inferring polynomial invariants for a subfamily of imperative loops, called the P-solvable loops, with assignments only...
Laura Kovács
HPCS
2009
IEEE
15 years 6 months ago
FFT-Based Dense Polynomial Arithmetic on Multi-cores
We report efficient implementation techniques for FFT-based dense multivariate polynomial arithmetic over finite fields, targeting multi-cores. We have extended a preliminary study...
Marc Moreno Maza, Yuzhen Xie
ICLP
2009
Springer
16 years 3 months ago
Computing Loops with at Most One External Support Rule for Disjunctive Logic Programs
We extend to disjunctive logic programs our previous work on computing loop formulas of loops with at most one external support. We show that for these logic programs, loop formula...
Xiaoping Chen, Jianmin Ji, Fangzhen Lin
CORR
2008
Springer
82views Education» more  CORR 2008»
15 years 2 months ago
Kaltofen's division-free determinant algorithm differentiated for matrix adjoint computation
Kaltofen has proposed a new approach in (Kaltofen, 1992) for computing matrix determinants without divisions. The algorithm is based on a baby steps/giant steps construction of Kr...
Gilles Villard
CC
2005
Springer
103views System Software» more  CC 2005»
15 years 2 months ago
Valiant's model and the cost of computing integers
Let (n) be the minimum number of arithmetic operations required to build the integer n N from the constants 1 and 2. A sequence xn is said to be "easy to compute" if the...
Pascal Koiran